Question

Why is the highest weight module in $\mathcal{O}$ category?

score 191 · Answer 1 · 2026-04-19 08:14:29

191

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Why is the highest weight module in $\mathcal{O}$ category?

Published on 19 Apr 2026 - 8:14

score 38 · Answer 2 · 2026-04-13 17:05:11

38

Views

a Poset Over a Set of Partial Orders

Published on 13 Apr 2026 - 17:05

score 275 · Answer 3 · 2026-04-16 01:53:58

275

Views

Show that the Boolean lattice $B_{n}$ is isomorphic to the $n$-fold product of the chain $[2]$.

Published on 16 Apr 2026 - 1:53

score 63 · Answer 4 · 2026-04-13 04:57:14

63

Views

Embedding linear orders into the reals such that infima/suprema are preserved

Published on 13 Apr 2026 - 4:57

score 113 · Answer 5 · 2026-04-16 02:39:22

113

Views

Injection between posets $(\Phi([-1,1]^d)\setminus\{\emptyset\},\subseteq)$ and $(\{-, 0,+\}^d,\preceq)$, where $-\preceq 0$ and $+\preceq 0$.

Published on 16 Apr 2026 - 2:39

score 190 · Answer 6 · 2026-04-13 11:13:14

190

Views

How best to explain partial order over vectors?

Published on 13 Apr 2026 - 11:13

score 507 · Answer 7 · 2026-04-15 18:51:49

507

Views

Any set can be well-ordered; doesn't that imply $(0,1)$ has a smallest real number?

Published on 15 Apr 2026 - 18:51

score 135 · Answer 8 · 2026-04-11 21:26:10

135

Views

Proof that the axiom of choice implies the dense ordering principle

Published on 11 Apr 2026 - 21:26

score 41 · Answer 9 · 2026-04-11 14:31:16

41

Views

Relations on Sets

Published on 11 Apr 2026 - 14:31

score 71 · Answer 10 · 2026-04-14 02:26:54

71

Views

Prove that any non-negative real number $a$ has $n$th root.

Published on 14 Apr 2026 - 2:26

score 151 · Answer 11 · 2026-04-11 18:09:26

151

Views

Semi continuity is continuity with respect to one sided order topology?

Published on 11 Apr 2026 - 18:09

score 70 · Answer 12 · 2026-04-13 18:22:09

70

Views

Can colex order be applied so sets of different sizes?

Published on 13 Apr 2026 - 18:22

score 58 · Answer 13 · 2026-03-25 17:22:45

58

Views

Why does creating the basis of any vector space using dense order instead of well order fail in general case?

Published on 25 Mar 2026 - 17:22

score 109 · Answer 14 · 2026-04-13 09:52:01

109

Views

Is there a similarity between $\Bbb Z \times \Bbb Q$ and $\Bbb Z \times \Bbb N$?

Published on 13 Apr 2026 - 9:52

score 85 · Answer 15 · 2026-04-10 05:20:12

85

Views

Poset associated with a regular cell complex

Published on 10 Apr 2026 - 5:20

List Question

Why is the highest weight module in $\mathcal{O}$ category?

a Poset Over a Set of Partial Orders

Show that the Boolean lattice $B_{n}$ is isomorphic to the $n$-fold product of the chain $[2]$.

Embedding linear orders into the reals such that infima/suprema are preserved

Injection between posets $(\Phi([-1,1]^d)\setminus\{\emptyset\},\subseteq)$ and $(\{-, 0,+\}^d,\preceq)$, where $-\preceq 0$ and $+\preceq 0$.

How best to explain partial order over vectors?

Any set can be well-ordered; doesn't that imply $(0,1)$ has a smallest real number?

Proof that the axiom of choice implies the dense ordering principle

Relations on Sets

Prove that any non-negative real number $a$ has $n$th root.

Semi continuity is continuity with respect to one sided order topology?

Can colex order be applied so sets of different sizes?

Why does creating the basis of any vector space using dense order instead of well order fail in general case?

Is there a similarity between $\Bbb Z \times \Bbb Q$ and $\Bbb Z \times \Bbb N$?

Poset associated with a regular cell complex

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